How do you convert 0.12345 (345 repeating) to a fraction?
1 Answer
Mar 28, 2016
#0.12bar(345) = 4111/33300#
Explanation:
Multiply by
#(100000-100)0.12bar(345)=12345.bar(345)-12.bar(345)=12333#
The factor
Then divide both ends by
#0.12bar(345) = 12333/(100000-100) = 12333/99900 = (color(red)(cancel(color(black)(3)))*4111)/(color(red)(cancel(color(black)(3)))*33300) = 4111/33300#